Ample vector bundles and moduli of tame stacks

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Abstract

We explain how to define an embedding of a tame stack over a noetherian ring into a certain generalization of a weighted projective stack using a notion of ample vector bundle on the stack. As applications we construct algebraic moduli stacks of tame stacks equipped with an ample vector bundle and algebraic stacks of tame orbicurves.

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Bragg et al. (Mon,) studied this question.

synapsesocial.com/papers/68e62291b6db6435875b4cd8 https://doi.org/https://doi.org/10.48550/arxiv.2407.01743

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